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Finding the Fourth Proportional to 137,456.74, 189,687.21 and 80,092.49

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Solution

The fourth proportional to 137,456.74, 189,687.21 and 80,092.49 is: 110,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456.74 : 189,687.21 = 80,092.49 : x
  2. Step 2: Convert to fraction form
    137,456.74/189,687.21 = 80,092.49/x
  3. Step 3: Cross multiply
    137,456.74x = 189,687.21 × 80,092.49
  4. Step 4: Simplify right side
    137,456.74x = 15,192,520,970.05
  5. Step 5: Solve for x
    x = 15,192,520,970.05/137,456.74
  6. Step 6: Final answer
    x = 110,525.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.